1. Quiz 4 performance 1 Max. is 28/30. Average is 23 Please note the unique 3 digit code at the 2nd page of your Quiz 4 You can use this to track your grade at the class website.

2. Chapter 8: Frequency Response for 8.1 BODE PLOTS Logarithmic frequency scales:

3. For f << f b, |A v (f)| dB =0 For f >> f b For f = f b Phase of A v (f): Fig. 8.3: Bode plot for the low-pass RC filter The Magnitude Bode Plot: The Phase Bode Plot: Note: The actual responses are usually approximated by the asymptotes The Magnitude and Phase Bode Plots

4. The results is a ratio of polynomials in s, we have a pole at s = -1/(R 1 +R 2 )C, and a zero at s = -1/R 2 C Magnitude of A v (f) = In decibels: Let We have, Bode Plot for an RC Circuit with one pole and one zero Example 8.1:

5. Steps: 1.Plot each of the functions 2.Note the corner frequencies 3.Determine the superimposed plot based on the corner frequencies The Magnitude Bode Plot

6. The Phase Bode Plot At a very high frequencies, the capacitor behaves as a short circuit, then the circuit reduces to a resistive voltage divider with a gain of Simple checks of the Bode Plots: Thus the gain is -20 dB at high frequencies, similar to what we have plotted.

7. Magnitude of A v (f): Example

8. In decibels, Magnitude Plots

9. 9 Phase Plots

10. FET Common Source Amplifier model at High Frequencies

11. where

12. Thus to obtain higher value of upper freq: 1.Reduce C gs and C ds 2.Reduce R sig and R L